19820133397504 has 264 divisors, whose sum is σ = 45857367855936. Its totient is φ = 8486166528000.

The previous prime is 19820133397499. The next prime is 19820133397507. The reversal of 19820133397504 is 40579333102891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19820133397507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388368469 + ... + 388419499.

Almost surely, 2^{19820133397504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19820133397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928683927968).

19820133397504 is an abundant number, since it is smaller than the sum of its proper divisors (26037234458432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19820133397504 is a wasteful number, since it uses less digits than its factorization.

19820133397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51161 (or 51114 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 19820133397504 in words is "nineteen trillion, eight hundred twenty billion, one hundred thirty-three million, three hundred ninety-seven thousand, five hundred four".